From June 2010 to August 2013 I was a Heilbronn Research Fellow in the Department of Mathematics at the University of Bristol.

## Papers

- Gary Greaves, Graeme Taylor, Lehmer’s conjecture for Hermitian matrices over the Eisenstein and Gaussian integers,

Electronic Journal of Combinatorics 20(1) (2013), #P42. - Graeme Taylor, Lehmer’s conjecture for matrices over the ring of integers of some imaginary quadratic fields,

Journal of Number Theory, Volume 132, Issue 4, April 2012, Pages 590-607. (ISSN 0022-314X, DOI: 10.1016/j.jnt.2011.09.006.) - Graeme Taylor,Cyclotomic matrices and graphs over the ring of integers of some imaginary quadratic fields,

Journal of Algebra, Volume 331, Issue 1, 1 April 2011, Pages 523-545. (ISSN 0021-8693, DOI: 10.1016/j.jalgebra.2011.02.009.)

## Lecturing

I gave a series of lectures on graph theory for MATH30002/MATHM0009 *Topics in Discrete Mathematics*, 28 Jan – 11 Feb 2013; my notes and slides are available here.

## Talks Given

- University of Bristol Combinatorics Seminar, 7 March 2013.
- AMS-SIAM Special Session on Mathematics of Computation: Algebra and Number Theory, 11 January 2013. (
*slides*) - Stem Cafe at Worle Community School, 2 May 2012.
- University of Waterloo Number Theory Seminar, 8 September 2011. (
*slides*). - Café Sci @ Gordano School, 3 March 2011.
- Warwick Mathematics Institute Number Theory Seminar, 31 January 2011.
- Heilbronn Seminar, 1st December 2010 (
*slides*). - Royal Holloway Pure Mathematics Seminar, 26th October 2010 (
*approximate slides*).

## Conferences Attended

- Uncertainty in Interaction Networks
*Bath, UK June 12-13 2013* - Joint Mathematics Meetings 2013
*San Diego, US January 9-12 2013* - BCCS International Advisory Board seminar
*Bristol, UK November 16-17th 2012* - Engage 2012
*Bristol, UK September 26 2012* - 2012 Heilbronn Annual Conference
*Bristol, UK September 20-21 2012* - EuroCG 2012- 28th European Workshop on Computational Geometry
*Assisi, IT 19-21 March 2012* - 2012 Joint Mathematics Meetings
*Boston, US 4-7 January 2012.* - Inspirational Outreach: A Workshop on Sharing Practice
*Exeter, UK 23 June 2011.* - 2011 Joint Mathematics Meetings
*New Orleans, US 6-9 January 2011.* - Workshop on Elliptic Curve Computation
*Seattle, US 18-22 October 2010.* - Engage 2010
*Bristol, UK 23rd September 2010.* - Heilbronn Annual Conference 2010
*Bristol, UK 16-17 September 2010.*

## Courses Attended

- Social Network Analysis
*University of Michigan via Coursera, September-October 2012*. (Completed with distinction). - Securing Digital Democracy
*University of Michigan via Coursera, September-October 2012*. - Networked Life
*University of Pennsylvania via Coursera, September-October 2012*. (Completed with distinction – 100% average). - Probabilistic Graphical Methods
*Stanford via Coursera, March-June 2012*(Advanced track completed). - MAA Short Course: Discrete and Computational Geometry
*Boston, US 2-3 January 2012.* - Networks: Theory and Applications
*Bristol via the TCC, October-December 2011.*